The break-in happened at an address in Greenfinch Close in Leegomery some time between 6pm on Saturday and sometime yesterday.
Thieves gained entry to the garage, which is attached to the property, and stole around £3,000 worth of weapons. An amount of fishing tackle and other accessories were also stolen.
Items stolen include a Matthews Compound Apex 7 bow, an Excel Sight, three black scopes, a 2.2 air rifle in a leather case, a re-curve bow and an unknown quantity of arrows.
Other stolen items include three black and silver fishing rods, two Donker side rods, two lease aids, a green camouflage cap, a throwing knife and a tripod.
A Telford Police spokeswoman said: “It is vital that these weapons are found and reported to police. They could prove extremely dangerous in the wrong hands.
“If you have been offered such items for sale, or know where they might be, we would urge you to come forward.â€
Telford Police can be contacted on 0300 333 3000. Alternatively, information can be passed anonymously via Crimestoppers on 0800 555111.